Three labelled boxes containing red and white cricket balls are all mislabeled, it is known that one of the boxes contains only white balls and one only red balls. The third contains a mixture of red and white balls. You are required to correctly label the boxes with the labels red, white and red and white by picking a sample of one ball from only one box. What is the label on the box you should sample?

a. Whiteb. Redc. Red and Whited. Not possible determine from a sample of one hailÂ Â (CAT 1999)

Ten coins are distributed among four people P, Q, R, S such that one of them gets one coin, another gets two coins, the third gets three coins and the fourth gets four coins. It is known that Q gets more coins than P, and S gets fewer coins than R.

1. If the number of coins distributed to Q is twice the number distributed to P then which one of the following is necessarily true?

a. R gets an even number of coinsb. R gets an odd number of coinsc. S gets an even number of coinsd. S gets an odd number of coins

2. If R gets at least two more coins than S, then which one of the following is necessarily true?

a. Q gets at least two more coins than Sb. Q gets more coins than P.c. P gets more coins than Sd. P and Q together get at least five coins

3. If Q gets fewer coins than R, then which one of the following is not necessarily true?

a. P and Q together. get at least four coinsb. Q and S together get at least four coinsc. R and S together get at least five coinsd. P and R together get at least five coins (CAT 1999)

A young girl Roopa leaves home with x flowers, goes to the bank of a nearby river. On the bank of the river, there are four places of worship, standing in a row. She dips all the x flowers into the river. The number of flowers doubles. Then she enters the first place of worship, offers y flowers to the deity. She dips the remaining flowers into the river, and again the number of flowers doubles. She goes to the third place of worship, offers y flowers to the deity. She dips the remaining flowers into the river, and again the number of flowers doubles. She goes to the fourth place of worship, offers y flowers to the deity. Now she is left with no flowers in hand.

1. If Roopa leaves home with 30 flowers, the number of flowers she offers to each deity is:

a. 30b. 31c. 32d. 33

2. The minimum number of flowers that could be offered to each deity is:

A, B, C, D E and F are a group of friends from a club. There are two housewives, one lecturer, one architect, one accountant and one lawyer in the group. There are two married couples in the group. The lawyer is married to D who is a housewife. No lady in the group is either an architect or an accountant. C, the accountant, is married to F who is a lecturer. A is married to D and E is not a housewife.

Amar, Akbar, and Anthony came from the same public school in the Himalayas. Every boy in that school either fishes for trout or plays frisbee. All fishermen like snow while no frisbee player likes rain. Amar dislikes whatever Akbar likes and likes whatever Akbar dislikes. Akbar likes rain and snow. Anthony likes whatever the other two like. Who is a fisherman but not a frisbee player?